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Simplifying 42n + -13 = 17n + 12 Reorder the terms: -13 + 42n = 17n + 12 Reorder the terms: -13 + 42n = 12 + 17n Solving -13 + 42n = 12 + 17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17n' to each side of the equation. -13 + 42n + -17n = 12 + 17n + -17n Combine like terms: 42n + -17n = 25n -13 + 25n = 12 + 17n + -17n Combine like terms: 17n + -17n = 0 -13 + 25n = 12 + 0 -13 + 25n = 12 Add '13' to each side of the equation. -13 + 13 + 25n = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 25n = 12 + 13 25n = 12 + 13 Combine like terms: 12 + 13 = 25 25n = 25 Divide each side by '25'. n = 1 Simplifying n = 1
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